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Finding the Fourth Proportional to 1,022.51, 1,410.26 and 686.30

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Solution

The fourth proportional to 1,022.51, 1,410.26 and 686.30 is: 946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.51 : 1,410.26 = 686.30 : x
  2. Step 2: Convert to fraction form
    1,022.51/1,410.26 = 686.30/x
  3. Step 3: Cross multiply
    1,022.51x = 1,410.26 × 686.30
  4. Step 4: Simplify right side
    1,022.51x = 967,859.93
  5. Step 5: Solve for x
    x = 967,859.93/1,022.51
  6. Step 6: Final answer
    x = 946.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.